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Author: Élodie Durand Publisher: IDW Publishing ISBN: 1684069599 Category : Comics & Graphic Novels Languages : en Pages : 228
Book Description
A triumph of graphic memoir, Parenthesis narrates the author’s experience with tumor-related epilepsy—losing herself, and finding herself again. Julie is barely out of her teens when a tumor begins pressing on her brain, ushering in a new world of seizures, memory gaps, and loss of self. Suddenly, the sentence of her normal life has been interrupted by the opening of a parenthesis that may never close. Based on the real experiences of cartoonist Élodie Durand, Parenthesis is a gripping testament of struggle, fragility, acceptance, and transformation which was deservedly awarded the Revelation Prize of the Angoulême International Comics Festival.
Author: Wei Li Publisher: Springer Science & Business Media ISBN: 3764399775 Category : Mathematics Languages : en Pages : 273
Book Description
Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing a workflow for scientific research in the information era in which formal methods, interactive software and human invention are all used to their advantage. This book represents a valuable reference for graduate and undergraduate students and researchers in mathematics, information science and technology, and other relevant areas of natural sciences. Its first five chapters serve as an undergraduate text in mathematical logic and the last five chapters are addressed to graduate students in relevant disciplines.
Author: Nicholas Loehr Publisher: CRC Press ISBN: 1498780261 Category : Mathematics Languages : en Pages : 618
Book Description
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.
Author: Robert Cogan Publisher: University Press of America ISBN: 9780761810674 Category : Education Languages : en Pages : 396
Book Description
This book is a comprehensive introduction to critical thinking skills and the philosophical and factual bases of critical thinking. Contents: ^I ANALYSIS OF REASONING. Short Simple Reasoning; Longer More Complex Discourse. EVALUATION OF REASONING. Basic Concepts of Evaluation; Degrees of Support Reasons Give to Conclusions; Critical Life Decisions: Complete Evaluation of Reasoning; Syllogistic Logic; Reasoning with Statements; Moderate to Fallacious Arguments. EVALUATING UNSUPPORTED BELIEFS. Justification, Paradigms, and Reasoning; Seeing, Reasoning and Scientific Justification; Justification in Law; Philosophical Dialectic and High Justification; Religion and Science; Pseudoscience as Unjustified Statements; The United States and the Global Corporate Economy. Appendices; Index; Bibliography; Exercises.
Author: Prosenjit K. Bose Publisher: Springer ISBN: 3540361367 Category : Mathematics Languages : en Pages : 668
Book Description
Annotation. This book constitutes the refereed proceedings of the 13th Annual International Symposium on Algorithms and Computation, ISAAC 2002, held in Vancouver, BC, Canada in November 2002. The 54 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from close to 160 submissions. The papers cover all relevant topics in algorithmics and computation, in particular computational geometry, algorithms and data structures, approximation algorithms, randomized algorithms, graph drawing and graph algorithms, combinatorial optimization, computational biology, computational finance, cryptography, and parallel and distributedd algorithms.
Author: Konrad Engel Publisher: Cambridge University Press ISBN: 0521452066 Category : Mathematics Languages : en Pages : 430
Book Description
The starting point of this book is Sperner's theorem, which answers the question: What is the maximum possible size of a family of pairwise (with respect to inclusion) subsets of a finite set? This theorem stimulated the development of a fast growing theory dealing with external problems on finite sets and, more generally, on finite partially ordered sets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming, linear algebra, Lie-algebra representations and eigenvalue methods, probability theory, and enumerative combinatorics. Researchers and graduate students in discrete mathematics, optimisation, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory.
Author: Robert Sedgewick Publisher: Addison-Wesley Professional ISBN: 0132762560 Category : Computers Languages : en Pages : 971
Book Description
The leading introduction to computer algorithms in use today, including fifty algorithms every programmer should know Princeton Computer Science professors, Robert Sedgewick and Kevin Wayne, survey the most important computer algorithms in use and of interest to anyone working in science, mathematics, and engineering, and those who use computation in the liberal arts. They provide a full treatment of data structures and algorithms for key areas that enable you to confidently implement, debug, and put them to work in any computational environment. Fundamentals: Basic programming models Data abstraction Bags, queues, and stacks Analysis of algorithms Sorting Elementary sorts Mergesort Quicksort Priority queues Applications Graphs Undirected graphs Directed graphs Minimum spanning trees Shortest paths Strings String sorts Tries Substring search Regular expressions Data compression These algorithms are generally ingenious creations that, remarkably, can each be expressed in just a dozen or two lines of code. As a group, they represent problem-solving power of amazing scope. They have enabled the construction of computational artifacts, the solution of scientific problems, and the development of commercial applications that would not have been feasible without them.
Author: Walter D. Wallis Publisher: CRC Press ISBN: 1498777627 Category : Mathematics Languages : en Pages : 311
Book Description
What Is Combinatorics Anyway? Broadly speaking, combinatorics is the branch of mathematics dealing with different ways of selecting objects from a set or arranging objects. It tries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be chosen with a particular set of properties; and structural questions: does there exist a selection or arrangement of objects with a particular set of properties? The authors have presented a text for students at all levels of preparation. For some, this will be the first course where the students see several real proofs. Others will have a good background in linear algebra, will have completed the calculus stream, and will have started abstract algebra. The text starts by briefly discussing several examples of typical combinatorial problems to give the reader a better idea of what the subject covers. The next chapters explore enumerative ideas and also probability. It then moves on to enumerative functions and the relations between them, and generating functions and recurrences., Important families of functions, or numbers and then theorems are presented. Brief introductions to computer algebra and group theory come next. Structures of particular interest in combinatorics: posets, graphs, codes, Latin squares, and experimental designs follow. The authors conclude with further discussion of the interaction between linear algebra and combinatorics. Features Two new chapters on probability and posets. Numerous new illustrations, exercises, and problems. More examples on current technology use A thorough focus on accuracy Three appendices: sets, induction and proof techniques, vectors and matrices, and biographies with historical notes, Flexible use of MapleTM and MathematicaTM
Author: Muriel Villanueva
Author: Muriel Villanueva
Author: Élodie Durand
Author: Wei Li
Author: 
Author: Nicholas Loehr
Author: Robert Cogan
Author: Prosenjit K. Bose
Author: Konrad Engel
Author: Robert Sedgewick
Author: Walter D. Wallis